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10 June, 22:52

A sequence is defined by the formula f (n+1) = f (n) - 3. If f (4) = 22, what is f (1) ?

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  1. 10 June, 22:58
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    f (1) = 31

    Step-by-step explanation:

    since f (n+1) - f (n) = - 3

    this sequence is arithmetic when the common diff is d = - 3

    the general term is:

    f (n) = f (1) + (n-1) d

    put n = 4

    f (4) = f (1) + (4-1) (-3)

    22 = f (1) - 9

    f (1) = 31
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